MHB How Does Subtracting Negative Numbers Relate to Adding?

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Subtracting a negative number is equivalent to adding its positive counterpart, which can be confusing. Specifically, subtracting 4 is the same as adding -4, while subtracting -7 is the same as adding 7. The discussion emphasizes that subtracting a positive number is akin to adding a negative number, which is the opposite of the original number. Clarification is provided that when subtracting a negative number, one is effectively adding a positive number that is the opposite of the original negative value. Understanding these relationships is crucial for grasping the concepts of addition and subtraction in mathematics.
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a. Subtracting 4 is the same as adding $\boxed{(-4)}$
b. Subtracting -7 is the same as adding $\boxed{(7)}$
c. Subtracting a positive number is the same as adding a
\boxed{negative} number, where that $\boxed{?}$ is opposite of the original number
d. Subtracting a negative number is the same as adding a
$\boxed{?}$ number, where that $\boxed{?}$ is opposite of the original number

ok they are trying to teach about using counters to add
but $\boxed{?}$ was kinda on of those boolean confusions
 
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I'm not sure what "opposite of the original number" is supposed to mean! You said before that "subtracting -7 is the same as adding 7" so you do know that "
d. Subtracting a negative number is the same as adding a POSITIVE number, where that POSITIVE number is the opposite of the original number. (If the "original number" is -7 then the "positive number" is 7.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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